Prove please ; )
It may be intuitive in English, just as 1/3 = 0.(3) thing is convincing, but you'll lose your infinit(el)y-hostile audience at a proof.
It may be intuitive in English, just as 1/3 = 0.(3) thing is convincing, but you'll lose your infinit(el)y-hostile audience at a proof.
Math is beautiful like that. You have to trust it and you have to trust your teachers.
Sorry for I might have not expressed myself clearly. "There is no number you can name between these numbers shown in this notation" is in English and appeals to intuition, it does not show that there is indeed no such number. Food for thought: http://scienceblogs.com/goodmath/2009/05/you_cant_write_that...
You have to trust it and you have to trust your teachers.
No. Mathematics is a virtue of explanation (i.e. proving). No trust involved.